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Finding the Third Proportional to 417,843 and 645,933

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Solution

The third proportional to 417,843 and 645,933 is: 998,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,843 : 645,933 = 645,933 : x
  2. Step 2: Convert to fraction form
    417,843/645,933 = 645,933/x
  3. Step 3: Cross multiply
    417,843x = 645,933 × 645,933
  4. Step 4: Simplify right side
    417,843x = 417,229,440,489
  5. Step 5: Solve for x
    x = 417,229,440,489/417,843
  6. Step 6: Final answer
    x = 998,531.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.